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Finding the Fourth Proportional to 38.97, 53.78 and 22.60

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Solution

The fourth proportional to 38.97, 53.78 and 22.60 is: 31.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.97 : 53.78 = 22.60 : x
  2. Step 2: Convert to fraction form
    38.97/53.78 = 22.60/x
  3. Step 3: Cross multiply
    38.97x = 53.78 × 22.60
  4. Step 4: Simplify right side
    38.97x = 1,215.43
  5. Step 5: Solve for x
    x = 1,215.43/38.97
  6. Step 6: Final answer
    x = 31.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.